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Finding the Fourth Proportional to 318,900, 440,082 and 175,659.60

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Solution

The fourth proportional to 318,900, 440,082 and 175,659.60 is: 242,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,900 : 440,082 = 175,659.60 : x
  2. Step 2: Convert to fraction form
    318,900/440,082 = 175,659.60/x
  3. Step 3: Cross multiply
    318,900x = 440,082 × 175,659.60
  4. Step 4: Simplify right side
    318,900x = 77,304,628,087.20
  5. Step 5: Solve for x
    x = 77,304,628,087.20/318,900
  6. Step 6: Final answer
    x = 242,410.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.